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NIELIT 2019 Feb Scientist C - Section D: 27

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In a bangle shop. If the shopkeeper displays the bangles in the form of a square then he is left with $38$ bangles. If he wanted to increase the size of square by one bangle each side of the square he found that $25$ bangles fall short of in completing the square. The actual number of bangles which he had with him the shop was_________.

  1. $1690$
  2. $999$
  3. $538$
  4. $1000$
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Let x be the no of bangles present in each side of a square, then according to the question

 

$x^2 + 38=(x+1)^2 -25\\ x=31 \\ Required \hspace{2mm} answer = 31^2 + 38= 999$

 

So, option B is right
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